Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (6): 660-666.

• Articles • Previous Articles     Next Articles

Multiple Solutions for a Singular Elliptic Equation with Critical SobolevHardy Exponent and Inhomogeneous Term

 TAO Yang-Xin, CHEN Yao-Tian   

  1. 中国科学技术大学数学系 合肥 230026 华南理工大学应用数学系 广州 |510640
  • Online:2003-12-25 Published:2003-12-25
  • Supported by:

    国家自然科学基金(19871030)和广东自然科学基金(980587)资助项目

Abstract:

In this paper, the authors study the multiple problem for  a semilinear singular elliptic equation with critical Sobolev Hardy exponent and inhomogeneous term. The authors prove that if the parameter in the equation is  less then a known constant,  the problem concerned has two solutions.

Key words: Critical exponent; , Multiple solution, Sobolev Hardy inequality.

CLC Number: 

  • 35J65
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